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186161918148 = 223219272166547
BaseRepresentation
bin1010110101100000011…
…1010111000011000100
3122210111221111021212100
42231120013113003010
511022224422340043
6221304355552100
716310160124023
oct2553007270304
9583457437770
10186161918148
1171a50605518
12300b52bb630
131472a422b6b
1490203168ba
154c98676cd3
hex2b581d70c4

186161918148 has 36 divisors (see below), whose sum is σ = 495343117360. Its totient is φ = 58787973936.

The previous prime is 186161918101. The next prime is 186161918171. The reversal of 186161918148 is 841819161681.

186161918148 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 619 + 1 + 8 + 14 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 186161918094 and 186161918103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136082590 + ... + 136083957.

Almost surely, 2186161918148 is an apocalyptic number.

186161918148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

186161918148 is an abundant number, since it is smaller than the sum of its proper divisors (309181199212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

186161918148 is a wasteful number, since it uses less digits than its factorization.

186161918148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272166576 (or 272166571 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The spelling of 186161918148 in words is "one hundred eighty-six billion, one hundred sixty-one million, nine hundred eighteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 272166547 544333094 816499641 1088666188 1632999282 2449498923 3265998564 4898997846 5171164393 9797995692 10342328786 15513493179 20684657572 31026986358 46540479537 62053972716 93080959074 186161918148